Question
The set of real values of x for which 2log√2 (x−1)>x+5 is
Answer: Option B
:
B
2log√2(x−1)>x+5⇒2log2(x−1)2>x+5⇒(x−1)2>x+5⇒x2−3x−4>0⇒(x−4)(x+1)>0⇒x>4orx<−1
But for given log to be defined, x - 1 > 0
i.e.,x>1∴x>4⇒xϵ(4,∞).
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:
B
2log√2(x−1)>x+5⇒2log2(x−1)2>x+5⇒(x−1)2>x+5⇒x2−3x−4>0⇒(x−4)(x+1)>0⇒x>4orx<−1
But for given log to be defined, x - 1 > 0
i.e.,x>1∴x>4⇒xϵ(4,∞).
Was this answer helpful ?
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